基于变分原理的高层斜交网格筒结构受力分析

High-rise diagrid tublar structural mechanical analysis based on variational principle

对目前一种新型的建筑结构体系高层斜交网格筒结构,采用刚度等效的原则构建出了结构等效模型。为了得出能够全面描述结构特性的位移场和内力连续函数,采用能量变分原理对等效化连续模型进行了理论推导并求出了闭合解。与有限元方法计算结果对比,二者结果吻合较好。通过进一步分析推导出的连续函数,得出了高层斜交网格筒结构的内力和变形分布特性。研究结果表明:本文提出的方法理论严密,计算方便;结构的整体变形以弯曲型为主;结构的最优内力和刚度需选取合适斜柱夹角来实现;斜交网格筒体底部和上部剪力滞后效应不容忽视。本文方法可为该领域进一步的理论研究提供参考。

An equivalent model is proposed by using equivalent stiffness for the prevalent structural system diagrid tubular structures. In order to obtain the displacement field and internal force continuous function that can describe the structural characteristics comprehensively, the theory of energy variational principle is used to derive the closed solution. Compared with the results of finite element method, the correctness of this method is verified. By further analysis of the derived continuous function, the internal force and deformation distribution characteristics of the high-rise diagrid tublar structure can be studied deeply. Results show that the method proposed is rigorous and accurate in calculation. The overall deformation of the structure is mainly of curved type. The optimum internal force and stiffness of the structure are to be selected with the appropriate angle of inclined column. The hysteresis effect of this structure can not be neglected. This method can provide reference for further theoretical research.